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Q9 There are three industrial firms in Happy Valley.The government wants to reduce pollution to 60 units, so it gives each firm 20 tradable pollution permits. Firm: A, B, C Initial pollution level: 30,40,20 Cost of reducing pollution by one unit: 20, 30, 10 Q10 a) Who sells permits and how many do they sell? Who buys permits and how many do they buy? Briefly explain why the sellers and buyers are each willing to do so. What is the total cost of pollution reduction in this situation? b) How much higher would the costs of pollution reduction be if the permits could not be traded?

Question

Q9 There are three industrial firms in Happy Valley.The government wants to reduce pollution to 60 units, so it gives each firm 20 tradable pollution permits.

Firm: A, B, C Initial pollution level: 30,40,20 Cost of reducing pollution by one unit: 20, 30, 10

Q10 a) Who sells permits and how many do they sell? Who buys permits and how many do they buy? Briefly explain why the sellers and buyers are each willing to do so. What is the total cost of pollution reduction in this situation?

b) How much higher would the costs of pollution reduction be if the permits could not be traded?

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Solution

a) Firm A and C will sell permits, while Firm B will buy permits.

Firm A has 20 permits but initially pollutes 30 units. It needs to reduce pollution by 10 units, which would cost 200(10units200 (10 units * 20/unit). However, it could instead sell 10 permits to Firm B for a price lower than $30 each (the cost for Firm B to reduce pollution by one unit), and still make a profit.

Firm C has 20 permits but only pollutes 20 units. It doesn't need to reduce pollution, so it could sell some of its permits to Firm B for a price higher than $10 each (the cost for Firm C to reduce pollution by one unit), and make a profit.

Firm B has 20 permits but initially pollutes 40 units. It needs to reduce pollution by 20 units, which would cost 600(20units600 (20 units * 30/unit). However, it could instead buy 10 permits from Firm A and 10 from Firm C for a price lower than $30 each, and save money.

The total cost of pollution reduction in this situation would be the cost for Firm A to reduce pollution by 10 units, plus the cost for Firm B to buy 20 permits. Assuming the price of each permit is 25,thetotalcostwouldbe25, the total cost would be 200 + (2520)=25 * 20) = 700.

b) If the permits could not be traded, each firm would have to reduce its pollution to 20 units. The cost for Firm A to reduce pollution by 10 units would be 200,thecostforFirmBtoreducepollutionby20unitswouldbe200, the cost for Firm B to reduce pollution by 20 units would be 600, and Firm C would not have any reduction costs. The total cost of pollution reduction would be 200+200 + 600 = 800.Thisis800. This is 100 higher than the cost with tradable permits.

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